3 papers
math.AP2026
Sharp error estimates in stochastic homogenization of parabolic systems with time-dependent coefficients
Jun Geng, Qiang Xu
This article mainly proves the existence of stationary correctors under space-time spectral gap conditions, which exhibit different properties from those of elliptic operator corre…
math.AP2025
Resolvent Estimates in for the Stokes Operator in Nonsmooth Domains
Jun Geng, Zhongwei Shen
We establish resolvent estimates in spaces of bounded solenoidal functions for the Stokes operator in a bounded domain in under the assumptions that is for $d…
math.AP2024
Neumann Problems for the Stokes Equations in Convex Domains
Jun Geng, Zhongwei Shen
This paper studies the Neumann boundary value problems for the Stokes equations in a convex domain in . We obtain nontangential-maximal-function estimates in an…